Finite Group Databasebeta

← Group #10827211

Character table — Group #10827211

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222444444444466668888888888881212121212121212121216161616161616161616161616162424242424244848
order122222344446664444661212121222222244444412121212444444444466881212121212122424242422224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111111-1-11-1-1-11-1111111-1-1-1-11111-1-11-11-1-1-11-111-1-1-1-11-11-11-1
χ41111111111111111111111111111-1-1-11-1-1-11111111-1-1-1-11111-1-1-11-11-1-1-11-1-111-1-1-11-11-11
χ5111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111-1-1-1-1-1-11-1-1-11-11111-1-11111-1-1-1-1-1-11-11-1-1-11-111-1-111-11-11-11
χ8111111111111111111111111-1-1-1-1-1-1-11-1-1-111111-1-11111-1-1-1-1-1-1-11-11-1-1-11-1-111111-11-11-1
χ911111111111111-1-1-1-11111111111111-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-11-1-1-111111-11-1-11
χ1011111111111111-1-1-1-1111111111111-11-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1111-1-111-11-111-1
χ1111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1
χ1211111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111
χ1311111111111111-1-1-1-1111111-1-1-1-1111-1-1-11-1-1-1-1-1-1-11111111111-111-1-1-11-1-1-111-1-1-11-111-1
χ1411111111111111-1-1-1-1111111-1-1-1-111-11-1-1-11-1-1-1-1-1-111111111111-1-11-1-1-1111-1-1-1-11-11-1-11
χ1511111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111
χ1611111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111111111-1-1
χ172222222-2-2-2-2222000022-2-2-2-2222200002-2000000-2-222-2-200000000002-200000000000000
χ182222222-2-2-2-2222000022-2-2-2-222220000-22000000-2-2-2-2220000000000-2200000000000000
χ192222222-2-2-2-2222000022-2-2-2-2-2-2-2-200002-200000022-2-22200000000002-200000000000000
χ202222222-2-2-2-2222000022-2-2-2-2-2-2-2-20000-220000002222-2-20000000000-2200000000000000
χ21222222-12222-1-1-12222-1-1-1-1-1-1000022222222-1-1-1-10000000000-1-122-1-1-1-1-1-1-1-1-1-100000000
χ22222222-12222-1-1-12222-1-1-1-1-1-1000022-2-222-2-2-1-1-1-10000000000-1-1-2-211-1-111111100000000
χ23222222-12222-1-1-12222-1-1-1-1-1-10000-2-22-2-2-22-2-1-1-1-10000000000112-2-1111-11-1-11100000000
χ24222222-12222-1-1-12222-1-1-1-1-1-10000-2-2-22-2-2-22-1-1-1-1000000000011-221-1111-111-1-100000000
χ25222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-10000222-2-2-22-211110000000000-1-1-22-1111-1111-1-100000000
χ26222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1000022-22-2-2-2211110000000000-1-12-21-1111-1-1-11100000000
χ27222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-10000-2-22222221111000000000011-2-2-1-1-1-1-1-1111100000000
χ28222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-10000-2-2-2-222-2-211110000000000112211-1-111-1-1-1-100000000
χ292222-2-222-22-22220000-2-22-22-222-2-20002000-200002-200000000000002000-2000000020-200
χ302222-2-222-22-22220000-2-22-22-222-2-2000-2000200002-20000000000000-200020000000-20200
χ312222-2-222-22-22220000-2-22-22-2-2-2220002000-20000-2200000000000002000-20000000-20200
χ322222-2-222-22-22220000-2-22-22-2-2-222000-200020000-220000000000000-20002000000020-200
χ332222-2-22-22-222220000-2-2-22-2222-2-2002000-200000-220000000000002000-2000000020-2000
χ342222-2-22-22-222220000-2-2-22-2222-2-200-2000200000-22000000000000-200020000000-202000
χ352222-2-22-22-222220000-2-2-22-22-2-222002000-2000002-20000000000002000-20000000-202000
χ362222-2-22-22-222220000-2-2-22-22-2-22200-20002000002-2000000000000-20002000000020-2000
χ372-22-22-2222-2-22-2-22i2i−2i−2i2-2-2-2220000000000002i2i−2i−2i002i−2i2i−2i0000000000000000002-2000000
χ382-22-22-2222-2-22-2-22i2i−2i−2i2-2-2-2220000000000002i2i−2i−2i00−2i2i−2i2i000000000000000000-22000000
χ392-22-22-2222-2-22-2-2−2i−2i2i2i2-2-2-222000000000000−2i−2i2i2i002i−2i2i−2i000000000000000000-22000000
χ402-22-22-2222-2-22-2-2−2i−2i2i2i2-2-2-222000000000000−2i−2i2i2i00−2i2i−2i2i0000000000000000002-2000000
χ412-22-22-22-2-2222-2-200002-222-2-200002-20000000000002i−2i−2i2i2i2i−2i−2i2-200000000000000000000
χ422-22-22-22-2-2222-2-200002-222-2-200002-2000000000000−2i2i2i−2i−2i−2i2i2i2-200000000000000000000
χ432-22-22-22-2-2222-2-200002-222-2-20000-220000000000002i−2i−2i2i−2i−2i2i2i-2200000000000000000000
χ442-22-22-22-2-2222-2-200002-222-2-20000-22000000000000−2i2i2i−2i2i2i−2i−2i-2200000000000000000000
χ45444444-2-4-4-4-4-2-2-20000-2-22222000000004-40000000000000000000000-2200000000000000
χ46444444-2-4-4-4-4-2-2-20000-2-2222200000000-4400000000000000000000002-200000000000000
χ474444-4-4-24-44-4-2-2-2000022-22-2200000004000-40000000000000000000-20002000000000000
χ484444-4-4-24-44-4-2-2-2000022-22-220000000-4000400000000000000000002000-2000000000000
χ494444-4-4-2-44-44-2-2-20000222-22-20000004000-40000000000000000000-200020000000000000
χ504444-4-4-2-44-44-2-2-20000222-22-2000000-4000400000000000000000002000-20000000000000
χ5144-4-40040000-44-42i−2i2i−2i0000004-400000000002i−2i2i−2i0000002i−2i2i−2i0000000000000000000000
χ5244-4-40040000-44-42i−2i2i−2i000000-4400000000002i−2i2i−2i000000−2i2i−2i2i0000000000000000000000
χ5344-4-40040000-44-4−2i2i−2i2i0000004-40000000000−2i2i−2i2i000000−2i2i−2i2i0000000000000000000000
χ5444-4-40040000-44-4−2i2i−2i2i000000-440000000000−2i2i−2i2i0000002i−2i2i−2i0000000000000000000000
χ554-44-44-4-244-4-4-2224i4i−4i−4i-2222-2-2000000000000−2i−2i2i2i00000000000000000000000000000000
χ564-44-44-4-244-4-4-222−4i−4i4i4i-2222-2-20000000000002i2i−2i−2i00000000000000000000000000000000
χ574-44-44-4-2-4-444-2220000-22-2-22200004-400000000000000000000-2200000000000000000000
χ584-44-44-4-2-4-444-2220000-22-2-2220000-44000000000000000000002-200000000000000000000
χ594-44-4-4444-4-444-4-40000-44-444-4000000000000000000000000000000000000000000000000
χ604-44-4-444-444-44-4-40000-444-4-44000000000000000000000000000000000000000000000000
χ614-44-4-44-24-4-44-22200002-22-2-220000000000000000000000000000000000000023−2300000000
χ624-44-4-44-24-4-44-22200002-22-2-2200000000000000000000000000000000000000−232300000000
χ634-44-4-44-2-444-4-22200002-2-222-200000000000000000000000000000000000023−230000000000
χ644-44-4-44-2-444-4-22200002-2-222-2000000000000000000000000000000000000−23230000000000
χ654-4-440040000-4-442-2-22000000004-4000000002-2-220000002-2-220000000000000000000000
χ664-4-440040000-4-442-2-2200000000-44000000002-2-22000000-222-20000000000000000000000
χ674-4-440040000-4-44-222-2000000004-400000000-222-2000000-222-20000000000000000000000
χ684-4-440040000-4-44-222-200000000-4400000000-222-20000002-2-220000000000000000000000
χ6988-8-800-400004-444i−4i4i−4i000000000000000000−2i2i−2i2i00000000000000000000000000000000
χ7088-8-800-400004-44−4i4i−4i4i0000000000000000002i−2i2i−2i00000000000000000000000000000000
χ718-8-8800-4000044-44-4-44000000000000000000-222-200000000000000000000000000000000
χ728-8-8800-4000044-4-444-40000000000000000002-2-2200000000000000000000000000000000

Here i is the imaginary unit (i² = −1).